Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect

Details Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect Charged and Neutral Vortex Excitations in a Mean Field Theory for the Fractional Quantum Hall Effect

1994-06-07

arxiv.org/abs/cond-mat/9406032v1

Prog. Theor. Phys. Vol. 93 (1995) 503

Physics

Condensed Matter

22 pages, EPHOU-94-001, 8 figures available as a hard copy via air-mail

Scientific paper

10.1143/PTP.93.503

Applying a bi-local mean field approximation to the fractional quantum Hall state of $\nu=1/3$, we obtain charged and neutral vortex mean field solutions numerically. We calculate the mean field energy and the fluctuation corrections. The charged vortex has a fractional charge and a fractional angular momentum. The neutral vortex is a bound state of two charged vortices and has a zero charge and a zero angular momentum. The creation energy of the neutral vortex is about a half of the pair creation energy of two charged vortices. The magnetic field dependence of the gap energy agrees with the Laughlin's quasiparticle gap energy.

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